JMC 2017 Challenge

4. A download is 95% complete. What fraction is yet to be downloaded?

7. If you work out the values of the following expressions and then place them in increasing numerical order, which comes in the middle?

12. Last year, at the school where Gill teaches Mathematics, 315 out of the 600 pupils were girls. This year, the number of pupils in the school has increased to 640. The proportion of girls is the same as it was last year.

How many girls are there at the school this year?

13. Consider the following three statements.

(i) Doubling a positive number always makes it larger.

(ii) Squaring a positive number always makes it larger.

(iii) Taking the positive square root of a positive number always makes it smaller.

Which statements are true?

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